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Learning Goal: To understand standing waves, including calculation of A and f. and to learn the physical meaning behind some musical terms. The columns in the figure (Figure 1) show the instantaneous shape of a vibrating guitar string drawn every 1 ms. The guitar string is 60 cm long. The left column shows the guitar string shape as a sinusoidal traveling wave passes through it. Notice that the shape is sinusoidal at all times and specific features, such as the crest indicated with the arrow, travel along the string to the right at a constant speed. The right column shows snapshots of the sinusoidal standing wave formed when this sinusoidal traveling wave passes through an identically shaped wave moving in the opposite direction on the same guitar string The string is momentarily flat when the underlying traveling waves are exactly out of phase. The shape is sinusoidal with twice the original amplitude when the underlying waves are momentarily in phase. This pattern is called a standing wave because no wave features travel down the length of the string. Figure Time Traveling Wave 0 ms I ms 2 ms 3 ms I x= 0cm Standing Wave LIBIS A < 1 of 2 > I x= x= 60 cm 0 cm 60 cm Standing waves on a guitar string form when waves traveling down the string reflect off a point where the string is tied down or pressed against the fingerboard. The entire series of distortions may be superimposed on a single figure. like this (Eigure 2), indicating different moments in time using traces of different colors or line styles. Part A What is the wavelength A of the standing wave shown on the guitar string? Express your answer in centimeters. ▸ View Available Hint(s) |VL]ΑΣΦ Submit Part B Complete previous part(s) Part C Complete previous part(s) Part D Complete previous part(s) Part E Complete previous part(s) Provide Feedback ? cm Next >>

Learning Goal: To understand standing waves, including calculation of A and f. and to learn the physical meaning behind some musical terms. The columns in the figure (Figure 1) show the instantaneous shape of a vibrating guitar string drawn every 1 ms. The guitar string is 60 cm long. The left column shows the guitar string shape as a sinusoidal traveling wave passes through it. Notice that the shape is sinusoidal at all times and specific features, such as the crest indicated with the arrow, travel along the string to the right at a constant speed. The right column shows snapshots of the sinusoidal standing wave formed when this sinusoidal traveling wave passes through an identically shaped wave moving in the opposite direction on the same guitar string The string is momentarily flat when the underlying traveling waves are exactly out of phase. The shape is sinusoidal with twice the original amplitude when the underlying waves are momentarily in phase. This pattern is called a standing wave because no wave features travel down the length of the string. Figure Time Traveling Wave 0 ms I ms 2 ms 3 ms I x= 0cm Standing Wave LIBIS A < 1 of 2 > I x= x= 60 cm 0 cm 60 cm Standing waves on a guitar string form when waves traveling down the string reflect off a point where the string is tied down or pressed against the fingerboard. The entire series of distortions may be superimposed on a single figure. like this (Eigure 2), indicating different moments in time using traces of different colors or line styles. Part A What is the wavelength A of the standing wave shown on the guitar string? Express your answer in centimeters. ▸ View Available Hint(s) |VL]ΑΣΦ Submit Part B Complete previous part(s) Part C Complete previous part(s) Part D Complete previous part(s) Part E Complete previous part(s) Provide Feedback ? cm Next >>

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Learning Goal: To understand standing waves, including calculation of A and f. and to learn the physical meaning behind some musical terms. The columns in the figure (Figure 1) show the instantaneous shape of a vibrating guitar string drawn every 1 ms. The guitar string is 60 cm long. The left column shows the guitar string shape as a sinusoidal traveling wave passes through it. Notice that the shape is sinusoidal at all times. and specific features, such as the crest indicated with the arrow, travel along the string to the right at a constant speed. The right column shows snapshots of the sinusoidal standing wave formed when this sinusoidal traveling wave passes through an identically shaped wave moving in the opposite direction on the same guitar string. The string is momentarily flat when the underlying traveling waves are exactly out of phase. The shape is sinusoidal with twice the original amplitude when the underlying waves are momentarily in phase. This pattern is called a standing wave because no wave features travel down the length of the string. Figure Time Traveling Wave 0 ms. 1 ms 2 ms 3 ms 1 x= 0cm Standing Wave 1/3/8" 1 X = T x= 60 cm 0 cm 60 cm 1 of 2 > Standing waves on a guitar string form when waves traveling down the string reflect off a point where the string is tied down or pressed against the fingerboard. The entire series of distortions may be superimposed on a single figure, like this (Figure 2), indicating different moments in time using traces of different colors or line styles. Part A What is the wavelength of the standing wave shown on the guitar string? Express your answer in centimeters. ▸ View Available Hint(s) X = IV. | ΑΣΦ 5 Submit Part B Complete previous part(s) Part C Complete previous part(s) Part D Complete previous part(s) Part E Complete previous part(s) Provide Feedback ? cm Next >
Transcribed Image Text:Learning Goal: To understand standing waves, including calculation of A and f. and to learn the physical meaning behind some musical terms. The columns in the figure (Figure 1) show the instantaneous shape of a vibrating guitar string drawn every 1 ms. The guitar string is 60 cm long. The left column shows the guitar string shape as a sinusoidal traveling wave passes through it. Notice that the shape is sinusoidal at all times. and specific features, such as the crest indicated with the arrow, travel along the string to the right at a constant speed. The right column shows snapshots of the sinusoidal standing wave formed when this sinusoidal traveling wave passes through an identically shaped wave moving in the opposite direction on the same guitar string. The string is momentarily flat when the underlying traveling waves are exactly out of phase. The shape is sinusoidal with twice the original amplitude when the underlying waves are momentarily in phase. This pattern is called a standing wave because no wave features travel down the length of the string. Figure Time Traveling Wave 0 ms. 1 ms 2 ms 3 ms 1 x= 0cm Standing Wave 1/3/8" 1 X = T x= 60 cm 0 cm 60 cm 1 of 2 > Standing waves on a guitar string form when waves traveling down the string reflect off a point where the string is tied down or pressed against the fingerboard. The entire series of distortions may be superimposed on a single figure, like this (Figure 2), indicating different moments in time using traces of different colors or line styles. Part A What is the wavelength of the standing wave shown on the guitar string? Express your answer in centimeters. ▸ View Available Hint(s) X = IV. | ΑΣΦ 5 Submit Part B Complete previous part(s) Part C Complete previous part(s) Part D Complete previous part(s) Part E Complete previous part(s) Provide Feedback ? cm Next >
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